{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to Quantitative Finance\n",
    "\n",
    "Copyright (c) 2019 Python Charmers Pty Ltd, Australia, <https://pythoncharmers.com>. All rights reserved.\n",
    "\n",
    "<img src=\"img/python_charmers_logo.png\" width=\"300\" alt=\"Python Charmers Logo\">\n",
    "\n",
    "Published under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license. See `LICENSE.md` for details.\n",
    "\n",
    "Sponsored by Tibra Global Services, <https://tibra.com>\n",
    "\n",
    "<img src=\"img/tibra_logo.png\" width=\"300\" alt=\"Tibra Logo\">\n",
    "\n",
    "\n",
    "## Module 1.6: Time Series Analysis\n",
    "\n",
    "### 1.6.2: Stationarity\n",
    "\n",
    "One of the key assumptions behind the OLS model is that the variables must have a finite variance. Observe that in the following equation, we have $Y$ as a function of time, and $X$ as a function of time, but we do not allow $\\beta$ to change with time:\n",
    "\n",
    "$Y_t = \\beta X_t + u$\n",
    "\n",
    "What this means, is that the relationship between $X$ and $Y$ must be consistent throughout the whole time series (further, remember that $u$ is meant to be drawn from a random distribution, and cannot therefore be \"increasing over time\" or have a pattern like that).\n",
    "\n",
    "If $X$ does not have a finite variance, then the OLS estimator will be biased and inconsistent in its predictive power.\n",
    "\n",
    "For OLS to be useful, we need $X$  to have a finite mean, referred to as $X$ being **stationary**.\n",
    "\n",
    "More formally, a variable is stationary if its mean and variance are constant over time. In a Simple Moving Average, for instance, the SMA value would not change significantly over the time period of the analysis.\n",
    "\n",
    "More informally, data is stationary if there are no trends, either long term or seasonality.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%run setup.ipy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def simple_moving_average(a, n=3) :\n",
    "    \"\"\"Simple moving average, computed in NumPy\"\"\"\n",
    "    ret = np.cumsum(a, dtype=float)\n",
    "    ret[n:] = ret[n:] - ret[:-n]\n",
    "    return ret[n - 1:] / n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2438de54a10>]"
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     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# X generated from a random series, without respect to time\n",
    "X_stationary = np.random.randn(1000)\n",
    "SMA_X_stationary = simple_moving_average(X_stationary, n=50)\n",
    "plt.plot(X_stationary)\n",
    "plt.plot(SMA_X_stationary, 'r--')  # Note how it stays \"around zero\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2439134b990>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# X generated from a random series, but with time as an impact\n",
    "X_non_stationary = 0.01 * np.arange(1000) + np.random.randn(1000)\n",
    "\n",
    "SMA_X_non_stationary = simple_moving_average(X_non_stationary, n=50)\n",
    "plt.plot(X_non_stationary)\n",
    "plt.plot(SMA_X_non_stationary, 'r--')  # Note how the moving average clearly changes over time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\User\\AppData\\Local\\Temp\\ipykernel_12472\\3441026984.py:12: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.\n",
      "  X_AR1 = np.array(X_AR1)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x243927ab610>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# X generated as a relationship to the lagged value, therefore having an inconsistent mean\n",
    "\n",
    "c = 0.5\n",
    "beta = 1.05\n",
    "X_AR1 = [1, ]\n",
    "\n",
    "for i in range(1, 1000):\n",
    "    # Take the previous value, multiply it by beta and add c. Add some error\n",
    "    new_data = c + beta * X_AR1[i-1] + np.random.randn(1) * 100\n",
    "    X_AR1.append(new_data)\n",
    "\n",
    "X_AR1 = np.array(X_AR1)\n",
    "SMA_X_AR1 = simple_moving_average(X_AR1, n=50)\n",
    "\n",
    "plt.plot(X_AR1)\n",
    "plt.plot(SMA_X_AR1, 'r--')  # Note how the moving average clearly changes over time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "1. Change the beta value in the above model to a value less than 1. What is different in this model?\n",
    "2. Change to negative values above and below -1, what patterns do you see?\n",
    "\n",
    "This type of model is an Autoregressive model, which we will look at later this module."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\User\\AppData\\Local\\Temp\\ipykernel_12472\\3482625456.py:11: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.\n",
      "  X_AR1 = np.array(X_AR1)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2439282c150>]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# X generated as a relationship to the lagged value, therefore having an inconsistent mean\n",
    "c = 0.5\n",
    "beta = 0.9\n",
    "X_AR1 = [1, ]\n",
    "\n",
    "for i in range(1, 1000):\n",
    "    # Take the previous value, multiply it by beta and add c. Add some error\n",
    "    new_data = c + beta * X_AR1[i-1] + np.random.randn(1) * 100\n",
    "    X_AR1.append(new_data)\n",
    "\n",
    "X_AR1 = np.array(X_AR1)\n",
    "SMA_X_AR1 = simple_moving_average(X_AR1, n=50)\n",
    "\n",
    "plt.plot(X_AR1)\n",
    "plt.plot(SMA_X_AR1, 'r--')  # Note how the moving average clearly changes over time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The difference is that this model doesn't continously grow, unlike a model with a beta > 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\User\\AppData\\Local\\Temp\\ipykernel_12472\\1924189084.py:11: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.\n",
      "  X_AR1 = np.array(X_AR1)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x24393aead90>]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# X generated as a relationship to the lagged value, therefore having an inconsistent mean\n",
    "c = 0.5\n",
    "beta = -1.1\n",
    "X_AR1 = [1, ]\n",
    "\n",
    "for i in range(1, 1000):\n",
    "    # Take the previous value, multiply it by beta and add c. Add some error\n",
    "    new_data = c + beta * X_AR1[i-1] + np.random.randn(1) * 100\n",
    "    X_AR1.append(new_data)\n",
    "\n",
    "X_AR1 = np.array(X_AR1)\n",
    "SMA_X_AR1 = simple_moving_average(X_AR1, n=50)\n",
    "\n",
    "plt.plot(X_AR1)\n",
    "plt.plot(SMA_X_AR1, 'r--')  # Note how the moving average clearly changes over time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When < -1, it is mean reverting and continiously growing, whereas between 0 and -1 it is mean reverting however not continously growing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Testing for Stationarity\n",
    "\n",
    "There are a few more formal tests for stationarity. If we define $\\gamma_k$ to be the covariance between $X_t$ and $X_{t-k}$, then let $\\rho$ be the ratio of it and the variance in $X$. Specifically:\n",
    "\n",
    "$\\gamma_k = E[(X_t - \\mu)(X_{t-k} - \\mu)]$\n",
    "\n",
    "$\\rho_k = \\frac{\\gamma_k}{\\gamma_0}$\n",
    "\n",
    "Note that $\\gamma_0$ is simply the variance at $X_t$, which is $\\sigma^2$.\n",
    "\n",
    "For a stationary time series, $\\rho_k \\rightarrow 0$ as $k \\rightarrow \\infty$, and further, if a time series is *white noise* (a term we see in the next module effectively meaning \"unpredictably random\"), then the values for $\\rho_k$ are drawn from a normal distribution with a standard deviation of $\\frac{1}{n}$. This means that we can test the significance of $\\rho_k$ using a z distribution such that:\n",
    "\n",
    "$\\frac{\\rho_k}{m} \\sim N(0, 1)$\n",
    "\n",
    "where $m= \\sqrt{\\frac{1}{n}}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.stattools import kpss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "1. Statsmodels has a Kwiatkowski-Phillips-Schmidt-Shin test for stationarity. Using this test, check each of the three datasets above for stationarity (`X_stationary`, `X_non_stationary` and `X_AR1`).\n",
    "2. Perform the same tests for the Augmented Dickey-Fuller (ADF) test, also in statsmodels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*For solutions, see `solutions/stationarity.py`*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Further Research\n",
    "\n",
    "Review the following reference for background information on the Adjusted Dickey-Fuller test:\n",
    "\n",
    "    James G. MacKinnon, \"1990, revised 2010\". \"Critical Values For Cointegration Tests,\" Working Paper 1227, Economics Department, Queen's University.\n",
    "    \n",
    "    Available: https://www.econ.queensu.ca/sites/econ.queensu.ca/files/qed_wp_1227.pdf\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Autoregressive models\n",
    "\n",
    "An autoregressive model is one where the current value of a time series is dependent on the previous values, along with some $\\beta$ value to create a linear relationship. Effectively, it is a lagged OLS, except that the variables are previous values of the predicted variable:\n",
    "\n",
    "$X_t = c + \\sum_{i=0}^n{\\beta_i X_{t-n+1}} + u_t$\n",
    "\n",
    "Where:\n",
    "* $c$ is a constant. In previous OLS models, we simply added a constant to $X$ and another value for $\\beta$, but that doesn't make sense for this data, as it is time-sequential. Here, we add it separately, but it has the same effect.\n",
    "* $\\beta$ is our linear coefficients as before, of which there are $n$ of them.\n",
    "* $X_t$ is the value of $X$ at given time period $t$\n",
    "* $u_t$ is our random error (i.i.d.) at time period $t$\n",
    "\n",
    "The simplest model is AR(1), which is simply:\n",
    "\n",
    "$X_t = c + \\beta X_{t-1} + u_t$\n",
    "\n",
    "In other words \"take the previous time period's X, multiply it by $\\beta$ and add c to it. Our error will be $u_t$.\n",
    "\n",
    "In the earlier exercise, we saw that in an AR(1) model, then if $|\\beta|<1$ then the model is stationary, otherwise it is not. Intuitively, we see this from the visualisation (try rerunning a few times to get a sense of the different shapes that happen when $\\beta$ is above or below 1). Also, an intuitive sense is that if $|\\beta|<1$, then there is a pressure towards zero, as $|\\beta x| < |x|$ iff $|\\beta|<1$. It is this \"pressure towards zero\" that doesn't happen if $|\\beta| >= 1$, therefore the expected value does not tend to zero."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Detrending data methods\n",
    "\n",
    "There are two major types of stationary processes, i.e. the processes used to generate data. They are:\n",
    "\n",
    "* **Trend Stationary Process (TSP)**: $X_t = \\beta_1 + \\beta_2 t + u_t$\n",
    "* **Difference Stationary Process (DSP)**: $X_t = \\beta X_{t-1} + u_t$\n",
    "\n",
    "In both cases, $u_t$ is stationary, and in both cases, the $X$ itself variable is non-stationary.\n",
    "\n",
    "To convert between a non-stationary process above to a stationary one, it is important to distinguish between whether your non stationary data is modelled using a TSP or a DSP. Stationary data can be modelled using the TSP model, and non-stationary data can be modelled using the DSP model.\n",
    "\n",
    "A TSP is relatively straight-forward. We can convert a non-stationary variable into a stationary variable that is modelled as a TSP using by computing the difference at each time step:\n",
    "\n",
    "${D}_t = X_t - \\beta t$\n",
    "\n",
    "\n",
    "Further to the above, data may need to be detrended multiple times to become stationary. A series that is already stationary is said to be integrated in I(0). If it needs to be detrended once to become stationary, it is I(1), twice is I(2) and so on (although it is rare to see higher values).\n",
    "\n",
    "For combining variables, if you have many variables of form I(d), the result is also I(d). More generally, if you linearly combine variables of different orders (i.e. an I(1), I(2) and an I(3)), the result is of the order that was highest (I(3) in this example). \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "1. Review the documentation for `statsmodels.tsa.tsatools.detrend`.\n",
    "2. Remove the linear trends from the three datasets from above (`X_stationary`, `X_non_stationary` and `X_AR1`) and visualise the new data compared to the old data.\n",
    "3. Perform the ADF test on the new resulting data and check for stationarity.\n",
    "\n",
    "\n",
    "#### Extended exercise\n",
    "\n",
    "Detrending is an area with lots of different methods and techniques used.  Often the context matters. Review the documentation for `scipy.signal.detrend` and review its terminology compared to the statsmodels version. Does a linear detrend in scipy correlate to a statsmodels detrending? Can you find another Python package that includes detrending? What terminology does it use?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(True, 2.9725834090068657e-12)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#From Solutions\n",
    "from statsmodels.tsa.tsatools import detrend\n",
    "\n",
    "Xst_detrended = detrend(X_stationary)\n",
    "Xnonst_detrended = detrend(X_non_stationary)\n",
    "Xar1_detrended = detrend(X_AR1)\n",
    "\n",
    "\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "\n",
    "# X_stationary\n",
    "plt.plot(X_stationary, alpha=0.5)\n",
    "plt.plot(Xst_detrended, 'r--', alpha=0.5)  # No difference\n",
    "\n",
    "adf, p_value, *_ = adfuller(Xst_detrended)\n",
    "\n",
    "p_value < 0.05, p_value  # Reject hypothesis of a unit root, which indicates stationary\n",
    "\n",
    "plt.plot(X_non_stationary, alpha=0.5)\n",
    "plt.plot(Xnonst_detrended)  # Removed linear increase\n",
    "\n",
    "adf, p_value, *_ = adfuller(Xnonst_detrended)\n",
    "\n",
    "p_value < 0.05, p_value  # Reject hypothesis of a unit root, which indicates stationary\n",
    "\n",
    "plt.plot(X_AR1, alpha=0.5)\n",
    "plt.plot(Xar1_detrended)  # linear detrends aren't perfect\n",
    "\n",
    "adf, p_value, *_ = adfuller(Xar1_detrended)\n",
    "\n",
    "p_value < 0.05, p_value  # Do NOT hypothesis of a unit root, which indicates stationary\n",
    "\n",
    "# In this case, linear detrend is not sufficient to make stationary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*For solutions, see `solutions/make_stationary.py`*"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
